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132123222 = 23271195327
BaseRepresentation
bin1111110000000…
…00101001010110
3100012121112222200
413320000221112
5232310420342
621035505330
73163012620
oct770005126
9305545880
10132123222
1168642150
12382b8246
13214b002a
1413793c10
15b8ec94c
hex7e00a56

132123222 has 48 divisors (see below), whose sum is σ = 356908032. Its totient is φ = 34317360.

The previous prime is 132123221. The next prime is 132123281. The reversal of 132123222 is 222321231.

It is a super-2 number, since 2×1321232222 = 34913091583322568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132123195 and 132123204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132123221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46278 + ... + 49049.

It is an arithmetic number, because the mean of its divisors is an integer number (7435584).

Almost surely, 2132123222 is an apocalyptic number.

132123222 is an abundant number, since it is smaller than the sum of its proper divisors (224784810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132123222 is a wasteful number, since it uses less digits than its factorization.

132123222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95353 (or 95350 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 132123222 is about 11494.4865914055. The cubic root of 132123222 is about 509.3227226613.

Adding to 132123222 its reverse (222321231), we get a palindrome (354444453).

The spelling of 132123222 in words is "one hundred thirty-two million, one hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 95327 190654 285981 571962 667289 857943 1048597 1334578 1715886 2001867 2097194 3145791 4003734 6005601 6291582 7340179 9437373 12011202 14680358 18874746 22020537 44041074 66061611 132123222